1345138200 has 432 divisors, whose sum is σ = 5342135760. Its totient is φ = 302400000.

The previous prime is 1345138189. The next prime is 1345138217. The reversal of 1345138200 is 28315431.

It is a happy number.

1345138200 is a `hidden beast` number, since 1 + 3 + 451 + 3 + 8 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8908125 + ... + 8908275.

It is an arithmetic number, because the mean of its divisors is an integer number (12366055).

Almost surely, 2^1345138200 is an apocalyptic number.

1345138200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671067880).

1345138200 is an abundant number, since it is smaller than the sum of its proper divisors (3996997560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345138200 is a wasteful number, since it uses less digits than its factorization.

1345138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1345138200 is about 36676.1257495936. The cubic root of 1345138200 is about 1103.8811111735.

The spelling of 1345138200 in words is "one billion, three hundred forty-five million, one hundred thirty-eight thousand, two hundred".